Stability Analysis of Discrete-Time Switched Positive Nonlinear Systems With Unstable Subsystems Under Different Switching Strategies

Zhang, Niankun; Kang, Yu; Yu, Peilong

doi:10.1109/tcsii.2020.3029911

Cited by 7 publications

(3 citation statements)

References 26 publications

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“…Li and Xu (2021) and Zhang et al (2019) obtain stability criterion for SNPSs based on ADT method. Tian and Sun (2019) and Zhang et al (2021) consider a more general model-dependent average dwell-time (MDADT) switching signals, in which each mode has its own ADT. The weighted MDADT and minimum dwell-time switching signals are designed by Du et al (2022) and Ma and An (2019), respectively, to obtain sufficient conditions for the stability of SNPSs.…”

Section: Introductionmentioning

confidence: 99%

Finite-time stability analysis for switched homogeneous positive systems: A variable cyclic dwell-time approach

Liu

Wang

2023

Transactions of the Institute of Measurement and Control

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In this paper, the finite-time stability for a class of switched homogeneous positive systems (SHPSs) is discussed. First, each subsystem is assumed to be finite-time stable and the degree of homogeneity satisfies [Formula: see text]. A new variable cyclic dwell-time approach is proposed, which allows for greater flexibility in switching signal design than the existing cyclic dwell-time approach. By virtue of the variable cyclic dwell-time and switched max-type separated Lyapunov function methods, the finite-time stability criterion for SHPSs is established and the settling time is obtained. Moreover, the stability result is extended to SHPSs containing unstable subsystems. Finally, two simulation examples are provided to demonstrate the effectiveness of the theoretical analysis.

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Section: Introductionmentioning

confidence: 99%

Finite-time stability analysis for switched homogeneous positive systems: A variable cyclic dwell-time approach

Liu

Wang

2023

Transactions of the Institute of Measurement and Control

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“…On the other hand, all the research referred to above was mainly focused on only stable (bounded) subsystems. In practical applications, the switched systems, including the stable (bounded) subsystems and unstable (unbounded) subsystems, can be widely implemented (see [52][53][54][55][56][57][58]). Among them, in [52], Li et al discussed the FTS and FTB issues of nonlinear switched systems with subsystems that are not finite-time stable or finite-time bounded by using ADT switching.…”

Section: Introductionmentioning

confidence: 99%

“…In [57], Gao et al investigated the FTS and FTB for a class of discrete-time switched nonlinear systems with partial finite-time unstable subsystems via the MDADT approach. In addition, the stability problem for discrete-time nonlinear SPSs with unstable modes under different switching signals was studied by Zhang et al [58]. However, to the best of our knowledge, there is no result on the FTB for a class of discrete-time SPSs, including time-varying delay, interval uncertainties, exogenous disturbance, and finite-time unbounded subsystems in the literature.…”

Section: Introductionmentioning

confidence: 99%

Robust Finite-Time Control of Discrete-Time Switched Positive Time-Varying Delay Systems with Exogenous Disturbance and Their Application

2022

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Many practical systems can be modeled in terms of uncertainties, which refer to the differences or errors between actual data and mathematical simulations. However, systems including slight uncertainties and exogenous disturbances may lead to the instability of those systems. Besides, the behavior of systems is preferable to investigate within a prescribed bound over a fixed time interval. Therefore, in this paper, we study a robust finite-time control of discrete-time linear switched positive time-varying delay systems with interval uncertainties and exogenous disturbance. A distinctive feature of this research is that the considered systems consist of finite-time bounded subsystems and finite-time unbounded subsystems. A class of quasi-alternative switching signals is validly designed to analyze the mechanism and switching behaviors of the systems among their subsystems. By utilizing a copositive Lyapunov–Krasovskii functional method combined with the slow mode-dependent average dwell time and the fast mode-dependent average dwell time switching techniques, new sufficient conditions containing several symmetric negative-definite matrices are derived to guarantee robust finite-time control of the systems. These results are applied to a water-quality controllability model in streams to the standard level. Finally, the consistent results between the theoretical analysis and the corresponding numerical simulations are shown.

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Stability of positive switched homogeneous systems based on quasi-time-dependent max-separable Lyapunov function method

Liang,

Tian

2024

J. Appl. Math. Comput.

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Stability Analysis of Discrete-Time Switched Positive Nonlinear Systems With Unstable Subsystems Under Different Switching Strategies

Cited by 7 publications

References 26 publications

Finite-time stability analysis for switched homogeneous positive systems: A variable cyclic dwell-time approach

Finite-time stability analysis for switched homogeneous positive systems: A variable cyclic dwell-time approach

Robust Finite-Time Control of Discrete-Time Switched Positive Time-Varying Delay Systems with Exogenous Disturbance and Their Application

Stability of positive switched homogeneous systems based on quasi-time-dependent max-separable Lyapunov function method

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